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Finding the Third Proportional to 270,472,302 and 428,628,591

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Solution

The third proportional to 270,472,302 and 428,628,591 is: 679,265,372.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,472,302 : 428,628,591 = 428,628,591 : x
  2. Step 2: Convert to fraction form
    270,472,302/428,628,591 = 428,628,591/x
  3. Step 3: Cross multiply
    270,472,302x = 428,628,591 × 428,628,591
  4. Step 4: Simplify right side
    270,472,302x = 183,722,469,022,645,280
  5. Step 5: Solve for x
    x = 183,722,469,022,645,280/270,472,302
  6. Step 6: Final answer
    x = 679,265,372.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.